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Finding the Fourth Proportional to 1,111.82, 1,667.14 and 495.70

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Solution

The fourth proportional to 1,111.82, 1,667.14 and 495.70 is: 743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.82 : 1,667.14 = 495.70 : x
  2. Step 2: Convert to fraction form
    1,111.82/1,667.14 = 495.70/x
  3. Step 3: Cross multiply
    1,111.82x = 1,667.14 × 495.70
  4. Step 4: Simplify right side
    1,111.82x = 826,401.30
  5. Step 5: Solve for x
    x = 826,401.30/1,111.82
  6. Step 6: Final answer
    x = 743.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.